Symplectic Particle Tracking in a Thick Nonlinear McMillan Lens for the Fermilab Integrable Optics Test Accelerator (IOTA)

TL;DR

This paper presents a symplectic particle tracking method for simulating a thick nonlinear McMillan lens in Fermilab's IOTA, enabling accurate modeling of beam dynamics with integrable optics.

Contribution

It introduces a symplectic integrator based on Yoshida's method for simulating thick McMillan lenses with solenoids, improving accuracy over previous thin-lens approximations.

Findings

Successful simulation of thick McMillan lens with symplectic integrators

Enhanced accuracy in particle transport modeling

Supports design of integrable nonlinear beam optics

Abstract

The McMillan system is a novel method to increase the tune spread of a beam without decreasing its dynamic aperture due to the systems integrability. While the ideal system is based on an infinitely thin kick, the physical design requires a thick electron lens, including a solenoid. Particle transport through the lens is difficult to simulate due to the nature of the force on the circulating beam. This paper demonstrates accurate simulation of a thick McMillan lens in a solenoid using symplectic integrators derived from Yoshidas method.